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Finding the Third Proportional to 13,406 and 20,833

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Solution

The third proportional to 13,406 and 20,833 is: 32,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406 : 20,833 = 20,833 : x
  2. Step 2: Convert to fraction form
    13,406/20,833 = 20,833/x
  3. Step 3: Cross multiply
    13,406x = 20,833 × 20,833
  4. Step 4: Simplify right side
    13,406x = 434,013,889
  5. Step 5: Solve for x
    x = 434,013,889/13,406
  6. Step 6: Final answer
    x = 32,374.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.